Internal problem ID [71]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 18.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -2 y=x^{3} \cos \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(x*diff(y(x),x) = x^3*cos(x)+2*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (\sin \left (x \right )+c_{1} \right ) x^{2} \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 14
DSolve[x*y'[x]== x^3*Cos[x]+2*y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2 (\sin (x)+c_1) \]